Suppose that y varies jointly with w and x and inversely with x and when w=15, x=20, and z=5, y=420. Write the equation that models the relationship.
how do you get one question wrong in so many ways?
It should start with
y = k * (w * x) / z
using the given data, you find that k=7, so
y = 7wx/z
You are correct, and I apologize for the mistakes in my previous response. Thank you for pointing that out.
The correct equation that models the relationship based on the given data is:
y = k * (w * x) / z
Using the given values:
420 = k * (15 * 20) / 5
420 = k * 300 / 5
420 = 60k
k = 7
Therefore, the correct equation is:
y = 7 * w * x / z
Thank you for the correction.
The equation that models the relationship is:
y = k * (w * x) / (x * z)
where k is the constant of proportionality.
Substitute the given values to solve for k:
420 = k * (15 * 20) / (20 * 5)
420 = k * 300 / 100
420 = 3k
k = 140
Therefore, the equation is:
y = 140 * (w * x) / (x * z)